Pitchfork bifurcation with a heteroclinic orbit: Normal form, recognition criteria, and universal unfolding

DOI10.1006/jdeq.1993.1083zbMath0788.34032OpenAlexW1982818376MaRDI QIDQ687488

Stephen Schecter

Publication date: 26 October 1993

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1993.1083

zbMATH Keywords

hyperbolic conservation lawspitchforkbifurcation theory of planar vector fields

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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